Question 2 (1 point)
Which equation BEST represents the line of best fit for the scatterplot?
0000
a y=-3x - 2
b
y=x-3
y=-3x + 2
с
d y = x + 3

According to ASA regulation, AC should be equal to XZ for ABC ≅ XYZ.

Two triangles are said to be congruent if their sides are equal in length, the angles are of equal measure, and they can be superimposed on each other.

As per the given data:

∠A = ∠X

∠C = ∠Z

To show that ΔABC ≅ ΔXYZ by ASA:

∠A = ∠X [Given]

AC = XZ [Required condition for ΔABC ≅ ΔXYZ by ASA]

∠C = ∠Z [Given]

∴ For ΔABC ≅ ΔXYZ by ASA rule AC = XZ.

AC should be equal to XZ for ΔABC ≅ ΔXYZ by ASA rule.

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Answer:

D) In Step 4, the inequality should be x+82/426 is at least 0.25

they need 25 more signatures to get their idea carried out

Step-by-step explanation:

Answer:

Step 4

Step-by-step explanation:

I took the test! :D

!~Hope this helped~!

I'm bad at explaining, sorry!

Answer:

The domain for the interval of decrease is 3 ≤ x ≤ 5

Answer:

About 432 people read at least one book per month.

Step-by-step explanation:

36/50 people read at least one book, multiply 36/50 by 12 to make the fraction 432/600.

Answer:

sorry i dont understand it

Step-by-step explanation:

Answer:

• Let x be the number of members

• In inequalities, at least means greater or equal ( ≥ )

\({ \underline{ \mathfrak{ \: answer : }}}\)

\({ \boxed{ \boxed{ \rm{x + 1200 \geqslant 6000}}}}\)

• To get the average, substitute for x as 99 and amount collected by each member

The values are \(\lim_{x \to {\(-2}^{-}\) \(f(x) = \frac{1}{h}\)

\(\lim_{x \to {\(-2}^{+}\) \(f(x) = 3\) and \(\lim_{x \to {\(2}\) \(f(x) =\) 3

The concept of limits is used to describe the behavior of a function as its input approaches a certain value.

\(\lim_{x \to {\(-2}^{-}\) \(f(x) = \lim_{h \to \o\) \(f(-2-h)\) = \(\lim_{h \to \o\) \(\frac{1}{(-2-h)+2}\)

\(\lim_{h \to \o\)  \(\frac{1}{h}\)  

(So, Does not exist)

\(\lim_{x \to {\(-2}^{+}\) \(f(x)\) = \(\lim_{h \to \o\) \(f(-2+h)\)

\(\lim_{h \to \o\) \(3(-2+h)+9\) = 3

(So, Does not exist)

\(\lim_{x \to {\(-2}\) \(f(x)\) = 3×(-2) +9 = -6+9= 3

(So, Does not exist)

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Answer:

Step-by-step explanation:

Answer:

its a

Step-by-step explanation: its a because im 7

Answer:

answer is A

Step-by-step explanation:

Answer:

Let b = number of boys and g = number of girls.

g/b = 5/3, so g = (5/3)b

b + g = 136

b + (5/3)b = 136

(8/3)b = 136, so b = 136(3/8) = 51 boys, and g = 85 girls

There are 51 boys and 85 girls at the volleyball summer camp.

The ratio of boys to girls at the camp is 3 to 5. By applying this ratio to the total number of children at the camp (136), we find that there are 51 boys and 85 girls.

The question tells us that for every 3 boys at a camp, there are 5 girls. This means that the ratio of boys to girls is 3:5. This ratio tells us that out of every 8 (3+5) children, 3 are boys and 5 are girls.

Now it's mentioned there are 136 children in total. We divide total children by sum of the ratio to find out the number of boys and girls. 136 divided by 8 equals 17. This means there are 17 sets of 'every 8 children'.

To find the number of boys, multiply 3 (number of boys in one set) by 17 (total sets) and we get 51 boys. Using the same process for the girls, we multiply 5 (number of girls in one set) by 17 (total sets), resulting in 85 girls. Thus, among the 136 children at the camp, there are 51 boys and 85 girls.

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Answer:

1) 1

2.) -4

3.) 32

4.) w

Step-by-step explanation:

Coefficient is the number that is being multiplied by x. W is the same as 1w, so 1 is the coefficient

Constant is the number without any variable that is getting added to the variable (I think that's the definition), and that's -4, because when you subtract a number it's the same as adding it (w+(-4)).

Result is what you're getting, so it is 32, because w-4 equals 32, 32 is the result.

Variable is the unknown value represented by some sort of symbol, which is w, because we don't know w.

W=36

The inequality on the graph is the third option:

(2/5)*x - 3/2 ≥ y

Let's analyse the graph if the inequality.

We can see that there is a solid linear equation with a positive slope, and the shaded area is below that line, then the inequality is of the form:

y ≤ linear equation.

We know that the symbol "≤" must be used because of the solid line.

We also can see that when x = 0, y takes a velue between -1 and -2.

With that in mind the correct option is the third one:

(4/5)*x - 2y ≥ 3

Isolating y we get:

(4/5)*x - 3 ≥ 2y

(2/5)*x - 3/2 ≥ y

Changing the order:

y ≤ (2/5)*x - 3/2

That is the graphed inequality.

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Answer:

C. 78.5 in^3

Step-by-step explanation:

A soup can is in the shape of a cylinder. The volume of a cylinder can be found using the following formula:

\(v=\pi r^2h\)

We know that the height is 4 inches and the radius is 2.5 inches.

r= 2.5 in

h= 4 in

\(v=\pi (2.5in)^2*4in\)

Evaluate the exponent.

\((2.5 in)^2=2.5 in*2.5in=6.25 in^2\)

\(v=\pi *6.25 in^2*4 in\)

Multiply 6.25 in^2 and 4 in.

\(6.25 in^2*4 in=25 in^3\)

\(v=\pi*25 in^3\)

Multiply pi and 25 in^3.

\(v=78.5398163 in^3\)

Round to the nearest tenth. The 3 in the hundredth place tells us to leave the 5 in the tenth place.

\(v=78.5 in^3\)

78.5 cubic inches can fill one soup can.

Case 1: SE = s / √500

Case 2: SE = s / √5,000

Case 3: SE = s / √50,000

To find the standard error of the mean in each of the given cases, we can use the formula:

Standard Error (SE) = population standard deviation / square root of sample size

However, since the population standard deviation is not provided, we'll need to use an estimated value. We'll assume the population standard deviation is unknown and use the sample standard deviation as an estimate.

Given that the sample size is 44 and the population mean (μ) is 8, we'll calculate the standard deviation for each case:

Case 1: Sample size (n) = 500

The sample size (500) is larger than 5% of the population (44), so we can assume it's a large enough sample. In this case, we'll use the standard formula for the standard error of the mean without the finite population correction factor:

SE = sample standard deviation / square root of sample size

= s / √n

Case 2: Sample size (n) = 5,000

Similar to Case 1, the sample size (5,000) is larger than 5% of the population (44), so we'll use the standard formula without the finite population correction factor:

SE = s / √n

Case 3: Sample size (n) = 50,000

In this case, the sample size (50,000) is much larger than the population size (44), which means we have a large enough sample. Therefore, we'll also use the standard formula without the finite population correction factor:

SE = s / √n

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Answer:

\(P(x=3) = 0.1318\)

Step-by-step explanation:

The question illustrates a binomial distribution and the given parameters are:

Given

\(n = 6\) -- sample size

\(p = 0.75\) --- probability of success

\(r = 3\) --- half of the participant

Using the binomial probability formula, we have:

\(P_x = ^nC_xp^x(1-p)^{n-x}\)

For x = 3, the probability is:

\(P(x=3) = ^6C_3*0.75^3 * (1-0.75)^{6-3}\)

\(P(x=3) = 20*0.75^3 * 0.25^3\)

\(P(x=3) = 0.1318\)

Answer:

i Believe c

Step-by-step explanation:

Answer:

38.48m squared

Step-by-step explanation:

Area = pi x radius squared

So

3.5 squared is 12.25

12.25 x pi is 38.48

Answer:

1. 2 2. 24 3. 8 4. 240

Step-by-step explanation:

1. 1 pen costs 2 dollars

2. 12*2=24

3. 40/5=8

4. 8*30=240

Answer:

The values of x and y are x = 6 and y = 9Step-by-step explanation:

MNOP is a parallelogram its diagonal MO and PN intersected at point A

In any parallelogram diagonals:

Bisect each other

Meet each other at their mid-point

In parallelogram MNOP

∵ MO and NP are its diagonal

∵ MO intersect NP at point A

- Point A is the mid-point pf them

∴ MO and NP bisect each other

∴ MA = AO

∴ PA = AN

∵ MA = x + 5

∵ AO = y + 2

- Equate them

∴ x + 5 = y + 2 ⇒ (1)

∵ PA = 3x

∵ AN = 2y

- Equate them

∴ 2y = 3x

- Divide both sides by 2

∴ y = 1.5x ⇒ (2)

Now we have a system of equations to solve it

Substitute y in equation (1) by equation (2)

∴ x + 5 = 1.5x + 2

- Subtract 1.5x from both sides

∴ - 0.5x + 5 = 2

- Subtract 5 from both sides

∴ - 0.5x = -3

- Divide both sides by - 0.5

∴ x = 6

- Substitute the value of x in equation (2) to find y

∵ y = 1.5(6)

∴ y = 9

The values of x and y are x = 6 and y = 9

Answer:

A) \(a_{1}\) = 1, \(a_{2}\) = 4

B) \(a_{n}\) = 2\(a_{n-1}\) + 2

C)    \(a_{n} = 2^{n-1} + 2^n -2\\a_{n} = 2^n + 2^{n-1} -2\)

Step-by-step explanation:

For n ≥ 1 ,

S is a set containing 2^n distinct real numbers

an = no of comparisons to be made between pairs of elements of s

A)

\(a_{1}\) = no of comparisons in set (s)

that contains 2 elements = 1

\(a_{2}\) = no of comparisons in set (s) containing 4 = 4

B)  an = 2a\(_{n-1}\) + 2

C) using the recurrence relation

a\(_{n}\) = 2a\(_{n-1}\) + 2

substitute the following values  2,3,4  .......... for n

a\(_{2}\) = 2a\(_{1}\) + 2

a\(_{3}\) = 2a\(_{2}\) + 2 = \(2^{2} a_{1} + 2^{2} + 2\)

a\(_{4}\) = \(2a_{3} + 2 = 2(2^{2}a + 2^{2} + 2 ) + 2\)

    = \(2^{n-1} a_{1} + \frac{2(2^{n-1}-1) }{2-1}\)   ---------------- (x)

since  2^1 + 2^2 + 2^3 + ...... + 2^n-1 =  \(\frac{2(2^{n-1 }-1) }{2-1}\)

applying the sum formula for G.P

\(\frac{a(r^n -1)}{r-1}\)

Note ; a = 2, r =2 , n = n-1

a1 = 1

so equation x becomes

\(a_{n} = 2^{n-1} + 2^n - 2\\a_{n} = 2^n + 2^{n-1} - 2\)

Given:

• First choice:

donuts ($0.30/each)

muffins ($0.50/each)

bagels ($0.40/each)

• Second choice (drinks):

Individual cartons of milk or chocolate milk ($0.50/each)

Individual bottles of orange juice or apple juice ($0.75/each)

Given that you must stay within a budget of $100.

Let's solve for the following:

• (1). What food item did you choose? What drink did you choose?

To choose a food item, we must consider that the total cost must not be greater than $100.

Let's choose the following:

Muffins = $0.50 each

Individual cartons of milk or chocolate = $0.50 each

• (2).Write an inequality to represent the cost of the items (less than or equal to $100) in standard form. Use x to represent the number of food items and y to represent the number of drinks.

To write the inequality that represents the cost of the items, we have:

• (3). Solve the inequality for y (slope-intercept form).

Apply the slope-intercept form of a linear equation:

y = mx + b

Where m is the slope.

Rewrite the inequality in part(2) for y.

We have:

Divide all terms by 0.5:

Therefore, the inequality in slope-intercept form is:

The slope from the inequality is -1.

200 in the inequality means that the total number of items you can buy.

The slope is -1, this means when the number of food item reduces by 1, the number of drinks increase by 1.

• (4). , ,Graph the inequality and describe your graph and the process you used; for example, is your line dotted, solid, or shaded up or down?

Let's graph the inequality using three points.

Let's find values of y using random values of x.

When x = 20:

When x = 50:

When x = 100:

Now, we have the points:

(x, y) ==> (20, 180), (50, 150), (100, 100)

Now, plot the points on a graph and connect the points using a solid line since y is less than or equal to the expression.

Shade the region below the boundary line since y is less than or equal to the expression.

We have the graph below:

• (5). What are the x and y-intercepts?

The x-intercept is the point the line meets the x-axis while the y-intercept is the point it meets the y-axis.

Thus, we have:

x-intercept: (200, 0)

y-intercept: (0, 200)

The x-intercept means the greatest number of food items you can buy is 200

The y-intercept means the greatest number of food items you can buy is 200.

• (6). What are the domain and range in this problem?

The domain is the set of possible x-values.

Thus, we have:

Domain: 0 < x < 200

The range is the set of possible y-values.

Thus, we have:

Range: 0 < y < 200

In this problem, the minimum values of the domain and range is 0 while the maximum is 200. We may not use the minimum and maximum values of the domain and range if it is a must you pick one item each from both categories.

In this case, you have to pick one item from each category, hence we are not required to use the minimum and maximum values.

In a normal linear equation, we can use the minimum value, 0 and the maximum value 200.

The limits for both the domain and range are from 1 to 199.

ANSWER:

1). Muffins = $0.50 each

Individual cartons of milk or chocolate = $0.50 each

2). 0.50x + 0.50y ≤ 100

3). y ≤ -x + 200

4). The graph is attached above.

5). x-intercept: (200, 0)

y-intercept: (0, 200)

(6). Domain: 0 < x < 200

Range: 0 < y < 200

Answer: 36 + 4d

Step-by-step explanation:

so basically we just distribute to all the numbers in the parantheses. so 4 times 9 is 36 and 4 times d is 4d.

On solving the provided questions, we can say that Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

he diameter of the ball bearings varies according to a distribution that is approximately Normal

mean 11.5 mm and standard deviation 0.05 mm

the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm

Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

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D 231 = 46w can be used to solve for w, the number of white eggs used last week.

Answer:

The values of p = 0 < p ≤ 2/3

Step-by-step explanation:

First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable

P ( 6v flashlight working  ) = P ( at least one 6V battery works )

                                           = P ( 1 6v battery work )  + P ( 2  6v battery work )

                                           = b( 2; 2, p ) + b( 1; 2, p )

write out a formula of  b( 2; 2, p ) + b( 1; 2, p )

P ( 6v flashlight working  )  = p^2 + 2p( 1 - p )

Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable

P ( D flashlight works ) = p ( at least two D batteries works )

                                     = b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

write out a formula of  b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

P ( D flashlight works ) = \(P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2\)

attached below is the remaining solution

Answer:

Find two consecutive odd integers whose product is 23 more than their sum. Let x & x+2 be the 2 integers.

Step-by-step explanation:

The value of two consecutive odd positive integers are 5 and 6.

What are Integers?

A whole that can be positive , negative and zero is called integers.

Given that;

The product of two integers is 23 more that their sum.

Let two consecutive odd positive integers are x and x + 2.

Now, By the given condition we can formulate;

x (x + 2) = 23 + x + (x + 2)

x² + 2x = 23 + 2x + 2

x² + 2x = 25 + 2x

x² = 25

Take square root;

x = √25

x = ± 5

Since, Numbers are positive.

So, x = 5

And x + 1 = 5 + 1 = 6

Thus, The value of two consecutive odd positive integers are 5 and 6.

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